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- Metric_compatibility abstract "This article is about the concept in Riemannian geometry. For the typographic concept, see Typeface#Font metrics.In mathematics, given a metric tensor , a covariant derivative is said to be compatible with the metric if the following condition is satisfied:Although other covariant derivatives may be supported within the metric, usually one only ever considers the metric-compatible one. This is because given two covariant derivatives, and , there exists a tensor for transforming from one to the other:If the space is also torsion-free, then the tensor is symmetric in its first two indices.".
- Metric_compatibility wikiPageID "27420611".
- Metric_compatibility wikiPageRevisionID "448526978".
- Metric_compatibility hasPhotoCollection Metric_compatibility.
- Metric_compatibility subject Category:Differential_geometry.
- Metric_compatibility subject Category:Riemannian_geometry.
- Metric_compatibility comment "This article is about the concept in Riemannian geometry. For the typographic concept, see Typeface#Font metrics.In mathematics, given a metric tensor , a covariant derivative is said to be compatible with the metric if the following condition is satisfied:Although other covariant derivatives may be supported within the metric, usually one only ever considers the metric-compatible one.".
- Metric_compatibility label "Metric compatibility".
- Metric_compatibility sameAs m.0h3x670.
- Metric_compatibility sameAs Q6824314.
- Metric_compatibility sameAs Q6824314.
- Metric_compatibility wasDerivedFrom Metric_compatibility?oldid=448526978.
- Metric_compatibility isPrimaryTopicOf Metric_compatibility.